NCERT solution class 7 chapter 8 Comparing Quantities exercise 8.2 mathematics

EXERCISE 8.2


QUESTION 1

Convert the given fractional numbers to percent:

(a) \dfrac{1}{8}

Sol :

\dfrac{1}{8}=\dfrac{1}{8}\times 100\% =\dfrac{25}{2}\% = 12.5%


(b) \dfrac{5}{4}

Sol :

\dfrac{5}{4}=\dfrac{5}{4}\times 100\% = 5 × 25% = 125%


(c) \dfrac{3}{40}

Sol :

\dfrac{3}{40}=\dfrac{3}{40}\times 100\% =\dfrac{3}{2}\times 5\% =\dfrac{15}{2}\% = 7.5%


(d) \dfrac{2}{7}

Sol :

\dfrac{2}{7}=\dfrac{2}{7}\times 100\% \dfrac{200}{7}\% =28\dfrac{4}{7}\%

 


QUESTION 2

Convert the given decimal fractions to percents:

(a) 0.65

Sol :

=\dfrac{65}{100}\times 100\% = 65%


(b) 2.1

Sol :

=\dfrac{210}{100}\times 100\% = 210%


(c) 0.02

Sol :

\dfrac{2}{100}\times 100\% = 2%


(d) 12.35

Sol :

=\dfrac{1235}{100}\times 100\% = 1235%

 


QUESTION 3

Estimate what part of the figure is coloured and hence find the per cent which is coloured .

Sol :

(i) Here , 1 part out of 4 equal parts are shaded which represent fraction \dfrac{1}{4}

\dfrac{1}{4}=\dfrac{1}{4}\times 100\% = 25%

 

(ii) Here , 3 parts out of 5 equal parts are shaded which represents the fraction \dfrac{3}{5}

 

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